Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780m |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1844344339200 = -1 · 28 · 39 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5808,182468] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:430:1] [-44:594:1] |
Generators of the group modulo torsion |
j |
-7929856/675 |
j-invariant |
L |
6.7535849784789 |
L(r)(E,1)/r! |
Ω |
0.81694035568488 |
Real period |
R |
0.11481840836364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120ep1 7260j1 108900cn1 21780l1 |
Quadratic twists by: -4 -3 5 -11 |